Rank: 2247 based on 22 downloads (last 30 days) and 3 files submitted
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Paolo Panarese

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Files Posted by Paolo View all
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28 Mar 2005 Curvature-Torsion Defined Curve Given torsion and curvature functions, compute the curve uniquely. Author: Paolo Panarese curvature, frenet, torsion, curve, differential geometry, differential equation... 13 3
  • 3.5
3.5 | 2 ratings
28 Mar 2005 Bernoulli Numbers Given positive integer k, generate the k-th bernoulli number. Author: Paolo Panarese bernoulli, series, numbers, expansion, function 2 0
28 Mar 2005 Frenet basis for 3D torsion-curvature based curves Given torsion and curvature functions, it computes the curve by solving Frenet differential system. Author: Paolo Panarese differential equation..., frenet, basis, 3d, curves, torsion 7 0
  • 4.0
4.0 | 2 ratings
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06 Sep 2007 Curvature-Torsion Defined Curve Given torsion and curvature functions, compute the curve uniquely. Author: Paolo Panarese Friedrich, Ben

Dear Ken,

carefully check the different scalings of the axes. Try kappa=3, tau=4, T=[3/5 0 4/5],
N=[0 1 0] for a helix pointing in z-direction.

Ben
04 Sep 2007 Curvature-Torsion Defined Curve Given torsion and curvature functions, compute the curve uniquely. Author: Paolo Panarese Crandall, Ken

A curve with constant curvature of 10 and constant torsion of 10 is a straight right handed helix. That is not what I get when running the program.
23 Oct 2006 Frenet basis for 3D torsion-curvature based curves Given torsion and curvature functions, it computes the curve by solving Frenet differential system. Author: Paolo Panarese nguyen, tan
23 Oct 2006 Frenet basis for 3D torsion-curvature based curves Given torsion and curvature functions, it computes the curve by solving Frenet differential system. Author: Paolo Panarese Nguyen, Tan
21 Jul 2005 Curvature-Torsion Defined Curve Given torsion and curvature functions, compute the curve uniquely. Author: Paolo Panarese Venkataraman, Kartik

Prof. Paolo Panarese,
I downloaded the software and tried it out. It is very useful to visualize the relationships between curvature, torsion, and form. I do have one question though. If instead of a closed form parameterization of the curvature, I wanted to define it as actual values, how could I modify the code to generate the curve?

In other words, for example, instead of saying that the curvature was (t^2), I would like to state the actual curvature at each point of the curve. So if the curve was defined by 10 points, I would have the actual curvature at each of those 10 points.

How can I modify the code to enable me to generate this?

I apologize if this seems trivial. But I am kind of new to solving ODE's with Matlab, and I could definitely use some helpful suggestions.

Regards,
Kartik Venkataraman
University of California
Santa Cruz
Top Tags Applied by Paolo
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curvature, differential equations, frenet, torsion, 3d
Files Tagged by Paolo View all
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Updated   File Tags Downloads
(last 30 days) 		Comments Rating
28 Mar 2005 Curvature-Torsion Defined Curve Given torsion and curvature functions, compute the curve uniquely. Author: Paolo Panarese curvature, frenet, torsion, curve, differential geometry, differential equation... 13 3
  • 3.5
3.5 | 2 ratings
28 Mar 2005 Bernoulli Numbers Given positive integer k, generate the k-th bernoulli number. Author: Paolo Panarese bernoulli, series, numbers, expansion, function 2 0
28 Mar 2005 Frenet basis for 3D torsion-curvature based curves Given torsion and curvature functions, it computes the curve by solving Frenet differential system. Author: Paolo Panarese differential equation..., frenet, basis, 3d, curves, torsion 7 0
  • 4.0
4.0 | 2 ratings

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